The paper investigates the problem of the optimal tracking of a desired plasma glucose evolution by means of a continuous intravenous infusion. The model for the glucose-insulin system here adopted, and recently published, belongs to the class of nonlinear single-distributed delay models. The closed-loop control law is performed according to the feedback linearization theory: a state-feedback is designed in order to exactly linearize the model with respect to a suitably defined change of coordinates. Then, the optimal tracking is achieved by minimizing a performance index. The methodology here proposed allows both to decrease and increase the glycemia. Simulations support theoretical results and show the physical reliability of the approach proposed. ©2006 IEEE.
A closed-loop optimal control of the plasma glycemia
Palumbo Pasquale;De Gaetano Andrea
2006
Abstract
The paper investigates the problem of the optimal tracking of a desired plasma glucose evolution by means of a continuous intravenous infusion. The model for the glucose-insulin system here adopted, and recently published, belongs to the class of nonlinear single-distributed delay models. The closed-loop control law is performed according to the feedback linearization theory: a state-feedback is designed in order to exactly linearize the model with respect to a suitably defined change of coordinates. Then, the optimal tracking is achieved by minimizing a performance index. The methodology here proposed allows both to decrease and increase the glycemia. Simulations support theoretical results and show the physical reliability of the approach proposed. ©2006 IEEE.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
